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Finding the Fourth Proportional to 55,082.64, 82,623.84 and 15,640.14

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Solution

The fourth proportional to 55,082.64, 82,623.84 and 15,640.14 is: 23,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,082.64 : 82,623.84 = 15,640.14 : x
  2. Step 2: Convert to fraction form
    55,082.64/82,623.84 = 15,640.14/x
  3. Step 3: Cross multiply
    55,082.64x = 82,623.84 × 15,640.14
  4. Step 4: Simplify right side
    55,082.64x = 1,292,248,424.94
  5. Step 5: Solve for x
    x = 1,292,248,424.94/55,082.64
  6. Step 6: Final answer
    x = 23,460.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.